Question

For the functions f(x) = 3x - 4 and g(x) = x - 41, find the value of ƒ(4) - 2g(3)

Answer 1

⇒ To find f(4) it means that in the place of x in the function f plug in 4 and simplify to find f(4)

`f(4)=3(4)-4\\f(4)=12-4\\f(4)=8`

⇒Now let us find 2g(3),meaning in the place of x in the function g plug in 3 and simplify to find g(3) after that then multiply the results by 2 as indicated.

`g(3)=(3)-41\\g(3)=-38`

Meaning 2(g(3))= 2(-38)

⇒2(g(3))=-76

⇒N0ow let us find the value of f(4) - 2g(3)

⇒
`f(4) - 2g(3)=8-(-76)\\ f(4) - 2g(3)=8+76\\ f(4) - 2g(3)=84`

⇒The answer is 84